# mathematics

A soccer ball is kicked at ground level with a speed of 30 m/s at an angle of 35 degree to the horizontal. how long does it takes for the ball to hit the ground?

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1. h = -4.9t^2 + vt + 0, where v = 30sin35°

so solve
4.9t^ - 3sin35 t = 0
t(4.9t - 3sin35) = 0
t = 0 , at the start
or
t = 30sin35/4.9 = appr 3.5 seconds

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